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Finding the Third Proportional to 811,506 and 1,266,388.50

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Solution

The third proportional to 811,506 and 1,266,388.50 is: 1,976,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,506 : 1,266,388.50 = 1,266,388.50 : x
  2. Step 2: Convert to fraction form
    811,506/1,266,388.50 = 1,266,388.50/x
  3. Step 3: Cross multiply
    811,506x = 1,266,388.50 × 1,266,388.50
  4. Step 4: Simplify right side
    811,506x = 1,603,739,832,932.25
  5. Step 5: Solve for x
    x = 1,603,739,832,932.25/811,506
  6. Step 6: Final answer
    x = 1,976,251.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.